diff --git a/!Załączniki/2. 2023-03-13 14.11.51.excalidraw.md b/!Załączniki/2. 2023-03-13 14.11.51.excalidraw.md
new file mode 100644
index 0000000..46b1fb9
--- /dev/null
+++ b/!Załączniki/2. 2023-03-13 14.11.51.excalidraw.md	
@@ -0,0 +1,1190 @@
+---
+
+excalidraw-plugin: parsed
+tags: [excalidraw]
+
+---
+==⚠  Switch to EXCALIDRAW VIEW in the MORE OPTIONS menu of this document. ⚠==
+
+
+# Text Elements
+%%
+# Drawing
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+```
+%%
\ No newline at end of file
diff --git a/.obsidian/plugins/obsidian-completr/scanned_words.txt b/.obsidian/plugins/obsidian-completr/scanned_words.txt
index e5cfb58..5336697 100644
--- a/.obsidian/plugins/obsidian-completr/scanned_words.txt
+++ b/.obsidian/plugins/obsidian-completr/scanned_words.txt
@@ -2697,6 +2697,7 @@ options
 originalDistancX
 originalDistancY
 onload
+odbirezemy
 GoTo
 GS
 Gl
@@ -5276,6 +5277,7 @@ Opór
 Obsidian
 ORDER
 Options
+Ohm
 endobj
 endstream
 ea
@@ -6654,6 +6656,7 @@ elkEl
 error
 endBindingEl
 elementem
+entropia
 Length
 Link
 LN
@@ -10688,6 +10691,7 @@ sumy
 stykach
 sumacyjnego
 sumowanie
+stanów
 JQ
 Js
 JX
@@ -21266,6 +21270,7 @@ Selected
 Sumy
 Suma
 Szereg
+Statystyczna
 Rect
 Re
 Resources
@@ -34529,6 +34534,7 @@ disco
 developer
 doAfterLoaded
 dyspozycji
+doświadczenia
 YI
 YT
 Yv
@@ -38585,6 +38591,8 @@ bezpośredniego
 box
 boundingBox
 ban
+bity
+bezpamięciowe
 jW
 je
 jz
@@ -39866,6 +39874,7 @@ jej
 jedynie
 javascript
 jednakowo
+jednakowych
 ac
 af
 ao
@@ -42522,6 +42531,7 @@ undefined
 userSpacingStr
 userSpacingArr
 uległa
+uszkodzeń
 Mh
 MediaBox
 MI
@@ -45197,6 +45207,7 @@ localeCompare
 layoutAlgorithmsSimple
 layoutOptionsJson
 layoutOptions
+logarytmowi
 Kz
 KM
 Kw
@@ -51760,6 +51771,7 @@ recalculateEndPointOfLine
 równania
 rekurencyjne
 rekurencyjny
+równa
 tI
 tU
 ta
@@ -53094,6 +53106,7 @@ targetElkMap
 topX
 topY
 targets
+testów
 wo
 wHJ
 wKe
@@ -54386,6 +54399,8 @@ względem
 wzmocnień
 woltomierz
 wykryj
+wynosi
+wcześniejszych
 pDJ
 parenleftbigg
 parenrightbigg
@@ -55806,6 +55821,10 @@ prawdziwym
 prawdziwa
 perturbacji
 przepaleniu
+pojawienie
+połączone
+prawdopodobieństwami
+posteriori
 HD
 Ho
 Hg
@@ -62340,6 +62359,7 @@ measureText
 more
 map
 mrtree
+maksymalna
 nD
 nF
 nZ
@@ -63664,6 +63684,9 @@ nodeNodeBetweenLayersSpacing
 normalizeSelectedArrows
 negacji
 neutralnym
+niezależność
+następującymi
+nadamy
 gNx
 gHI
 gri
@@ -69081,6 +69104,10 @@ zadanie
 zdaniem
 zaburzania
 złożoności
+zidentyfikowania
+zależy
+zcharakteryzowane
+zdarzeń
 ÜI
 Üj
 ÜX
@@ -69564,6 +69591,7 @@ złożoności
 źródło
 źródle
 źródła
+źródeł
 ÖBq
 ÖS
 ÖH
diff --git a/.obsidian/workspace.json b/.obsidian/workspace.json
index 9bf1e5e..dc91ab2 100644
--- a/.obsidian/workspace.json
+++ b/.obsidian/workspace.json
@@ -13,26 +13,13 @@
             "state": {
               "type": "markdown",
               "state": {
-                "file": "AiSD/Wykład/1. Wprowadzenie, złożoność czasowa i pamięciowa.md",
-                "mode": "source",
-                "source": false
-              }
-            }
-          },
-          {
-            "id": "54972095f4f47a9a",
-            "type": "leaf",
-            "state": {
-              "type": "markdown",
-              "state": {
-                "file": "AiSD/Wykład/2. Proste algorytmy sortowania.md",
+                "file": "TC/Wykład/Wykład.md",
                 "mode": "source",
                 "source": false
               }
             }
           }
-        ],
-        "currentTab": 1
+        ]
       }
     ],
     "direction": "vertical"
@@ -98,7 +85,7 @@
             "state": {
               "type": "backlink",
               "state": {
-                "file": "AiSD/Wykład/2. Proste algorytmy sortowania.md",
+                "file": "TC/Wykład/Wykład.md",
                 "collapseAll": false,
                 "extraContext": false,
                 "sortOrder": "alphabetical",
@@ -115,7 +102,7 @@
             "state": {
               "type": "outgoing-link",
               "state": {
-                "file": "AiSD/Wykład/2. Proste algorytmy sortowania.md",
+                "file": "TC/Wykład/Wykład.md",
                 "linksCollapsed": false,
                 "unlinkedCollapsed": true
               }
@@ -138,7 +125,7 @@
             "state": {
               "type": "outline",
               "state": {
-                "file": "AiSD/Wykład/2. Proste algorytmy sortowania.md"
+                "file": "TC/Wykład/Wykład.md"
               }
             }
           },
@@ -193,26 +180,32 @@
       "markdown-importer:Open format converter": false,
       "zk-prefixer:Create new unique note": false,
       "audio-recorder:Start/stop recording": false,
-      "obsidian-excalidraw-plugin:Create new drawing": false,
-      "breadcrumbs:Breadcrumbs Visualisation": false
+      "obsidian-excalidraw-plugin:Create new drawing": false
     }
   },
-  "active": "54972095f4f47a9a",
+  "active": "31df104a4444f566",
   "lastOpenFiles": [
-    "AiSD/Ćwiczenia/1. Rozwiązywanie równań rekurencyjnych.md",
+    "TC/Ćwiczenia/Ćwiczenia.md",
+    "TC/Laboratorium/Laboratorium.md",
+    "TIiK/Wykład/2..md",
+    "TIiK/Wykład/Wykład.md",
+    "TIiK/Ćwiczenia/1. Logarytmy.md",
+    "TC/ALGEBRA BOOLOWSKA.md",
+    "TC/Ćwiczenia/1. Algebra Boola.md",
+    "TC/Wykład/0. Wstęp.md",
+    "TC/TC.md",
     "AiSD/Wykład/1. Wprowadzenie, złożoność czasowa i pamięciowa.md",
-    "AiSD/Wykład/2. Proste algorytmy sortowania.md",
-    "AiSD/Wykład/Wykład.md",
-    "AiSD/AiSD.md",
     "TIiK/TIiK.md",
+    "!Załączniki/2. 2023-03-13 14.11.51.excalidraw.md",
+    "AiSD/AiSD.md",
+    "AiSD/Wykład/2. Proste algorytmy sortowania.md",
+    "AiSD/Ćwiczenia/1. Rozwiązywanie równań rekurencyjnych.md",
+    "AiSD/Wykład/Wykład.md",
     "PI/PI.md",
     "AMiAL/AMiAL.md",
     "PI/Ćwiczenia/Ćwiczenia.md",
     "PI/Wykłady/2 SEM",
-    "TC/TC.md",
-    "TIiK/Ćwiczenia/1. Logarytmy.md",
     "TIiK/Wykład/1..md",
-    "TIiK/Wykład/Wykład.md",
     "!Załączniki/1. Logarytmy 2023-03-10 13.10.03.excalidraw.md",
     "!Załączniki/1. Logarytmy 2023-03-10 13.04.21.excalidraw.md",
     "!Załączniki/1. Logarytmy 2023-03-10 13.02.53.excalidraw.md",
@@ -221,13 +214,6 @@
     "AiSD/Ćwiczenia",
     "AMiAL/Ćwiczenia/Zadania/Całki/Zadanie 1.md",
     "AMiAL/!Materiały/calki_1.pdf",
-    "AMiAL/Wykłady/2 SEM/Podstawienie Eulera.md",
-    "AMiAL/Wykłady/Wykłady.md",
-    "TC/ALGEBRA BOOLOWSKA.md",
-    "TC/Ćwiczenia/1. Algebra Boola.md",
-    "!Załączniki/1. Algebra Boola 2023-03-08 11.38.40.excalidraw.md",
-    "!Załączniki/1. Algebra Boola 2023-03-08 11.17.37.excalidraw.md",
-    "!Załączniki/1. Algebra Boola 2023-03-08 11.11.50.excalidraw.md",
     "!Załączniki/Excalidraw/Scripts/Downloaded/Box Selected Elements.svg",
     "!Załączniki/Excalidraw/Scripts/Downloaded/Text Arch.svg",
     "!Załączniki/Excalidraw/Scripts/Downloaded/Repeat Elements.svg",
diff --git a/TIiK/Wykład/2..md b/TIiK/Wykład/2..md
new file mode 100644
index 0000000..5b0bc68
--- /dev/null
+++ b/TIiK/Wykład/2..md
@@ -0,0 +1,66 @@
+---
+Date: [20230313134633]
+---
+## 2.12 dla zidentyfikowania jednakowych uszkodzeń
+|$^{test}\\_{err}$|1|2|3|4|
+|:-|-|-|-|-|
+|1|0|1|0|0|
+|2|0|0|1|0|
+|3|1|0|1|0|
+|4|0|0|0|1|
+|5|0|1|1|0|
+x= $\{x_{1},x_{2},x_{3},x_{4}\}$
+p($x_{i}$)=$\{\frac{1}{4},\frac{1}{4},\frac{1}{4},\frac{1}{4}\}$
+Entropia jest maksymalna i równa logarytmowi z liczby
+H(x)=max=$ld4$=2 bity/wiadomość
+Minimalna liczba testów wynosi 2 -> 3 i 5 
+
+$X=X_{0}$ <--- źródło bezpamięciowe, pojawienie się wiadomości nie zależy od wcześniejszych stanów. Statystyczna niezależność
+
+## 2.22
+### 2 połączone doświadczenia X i Y zcharakteryzowane są następującymi prawdopodobieństwami zdarzeń
+$p(x_1, y_1)=0.1$
+$p(x_1, y_2)=0.25$
+$p(x_2, y_1)=0.2$
+$p(x_2, y_2)=0$
+$p(x_3, y_1)=0.3$
+$p(x_3, y_2)=0.15$
+nadamy x, odbirezemy y
+
+$H(x), H(y), H(x,y), H(x/y), H(y/x)$
+
+I(x/y)
+
+
+|$P(x_{i},y_{j})$|$y_1$|$y_2$|p(xi)|
+|-|-|-|-|
+|$x_1$|0.1|0.25|0.35|
+|$x_2$|0.2|0|0.2|
+|$x_3$|0.3|0.15|0.45|
+|p(yi)|0.6|0.4|
+
+$$H(x)=-\sum\limits_{i=1}^{3}P(x_{i})ld\ P(x_{i})= P(x_{1})=P(x_1y_1)+P(x_1y_{2)=0.35}=> max ld 3$$
+$$P(y_{1})=P(x1y1)+p(x2y1)+p(x3y1)=0.6 max ld 1$$
+
+Średnia entropia dwóch źródeł  - max ld 6
+H(x,y)= $-\sum_{i}\sum_{j}P(xiyj)ldP(xiyj)$
+H(x/y) x pod warunkiem y , a posteriori=$-\sum_{i}\sum_{j}P(xiyj)ldP(xi/yj)$
+
+H(x/y)=-01ld0.1-0.25ld0.25-0.2ld0.2-0ld0-0.3ld0.3-0.15ld0.15 = max ld 6
+h(y/x)=hx,y -hx
+
+hx/y=hx,y-hy
+
+
+$ld\ x= \frac{\log x}{\log z}=\frac{\ln x}{\ln z}$
+
+![[2. 2023-03-13 14.11.51.excalidraw]]
+
+
+$$\begin{gathered}
+hahahahahahahahahahahahahahahahahahahahahahahahhahahahhahahashdambgbvakabs
+\\
+
+"
+:I just read a book about Stockholm syndrome. It was pretty bad at first, but by the end I liked it."
+\end{gathered}$$
\ No newline at end of file